Measure and Measurable Dynamics (Contemporary Mathematics)

Measure and Measurable Dynamics (Contemporary Mathematics)

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Description

Dorothy Maharam Stone's (1917-) contributions to operators and measure algebras has had a profound influence on this area of research. Her career, which has spanned nearly half a century, includes 40 research publications, some of them as recent as 1987. A Ph.D. student of Anna Pell Wheeler at Bryn Mawr College, Stone has been an active force in mathematics research and various professional activities.This volume contains the proceedings of the Conference on Measure and Measurable Dynamics, held in honor of Stone at the University of Rochester in September 1987. The papers in this collection represent contributions from some of the top experts in this field. Stone's work is surveyed in a number of articles which highlight her foundational results concerning positive operators, the characterization of homo-geneous measure algebras, and disintegrations. In addition, there are research papers in ergodic theory, measure theory, descriptive set theory, and the dynamics of measurable maps. A number of the results in these papers are directly related to Stone's work.

Contents

Invariance of Renyi full conditional probabilities under group actions by T. E. Armstrong Proximal roots of minimal homeomorphisms by J. Auslander and N. Markley On the Los-Marczewski extension of charges and its uniqueness by E. Barone and K. P. S. Bhaskara Rao Marczewski null sets and intermediate Baire order by J. B. Brown Fixed points of automorphisms of $I^\aleph 1$ by M. R. Burke The work of Dorothy Maharam on measure theory, ergodic theory, and category algebras by J. R. Choksi, S. J. Eigen, J. C. Oxtoby, and V. S. Prasad Ergodic theory on homogeneous measure algebras revisited by J. R. Choksi, S. J. Eigen, and V. S. Prasad Axiomatic characterizations of inhomogeneous Poisson point processes (IPPP), their mixtures and random translations by J. P. R. Christensen and C. Rasmussen Uniformly distributed $D$-sequences by J. Coffey On maximal inequalitites in Orlicz spaces by G. A. Edgar and L. Sucheston Finite full sets in $2$-stack structures by S. J. Eigen and C. E. Silva Partial mixing, partial rigidity, and factors by N. A. Friedman A classification of disintegrations of measures by S. Graf and R. D. Mauldin Ratio sets of endomorphisms which preserve a probability measure by J. M. Hawkins An obstruction to $K$-fold splitting by J. L. King The work of Dorothy Maharam on kernel representations of linear operators by W. A. J. Luxemburg One-to-one selections and orthogonal transition kernels by R. D. Mauldin Descriptive ergodic theory by M. G. Nadkarni Decoding with two independent processes by W. Parry Temporal and spatial distribution of closed orbits of hyperbolic dynamical systems by W. Parry Nonlinear sampling of a flow by K. Petersen Classification problem for probability metrics by S. T. Rachev and R. M. Shortt A new proof of Hopf's theorem on invariant measures by D. Ramachandran Markov tilings of $\Bbb R^n$ and representations of $\Bbb R^n$ actions by D. J. Rudolph Groups of measurable automorphisms for spaces of finite type by R. M. Shortt A "regular oscillation" property of stable sets of measurable functions by M. Talagrand A new proof of the strong law without first moment by D. Tanny Countable generators in dynamics-universal minimal models by B. Weiss.

Product Details

  • ISBN13: 9780821850992
  • Format: Paperback
  • Number Of Pages: 326
  • ID: 9780821850992
  • ISBN10: 0821850997

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